Isolation of cuspidal spectrum, with application to the Gan–Gross–Prasad conjecture

  title={Isolation of cuspidal spectrum, with application to the
 Gan–Gross–Prasad conjecture},
  author={Raphael Beuzart-Plessis and Yifeng Liu and Wei Zhang and Xinwen Zhu},
  journal={arXiv: Number Theory},
We introduce a new technique for isolating components on the spectral side of the trace formula. By applying it to the Jacquet--Rallis relative trace formula, we complete the proof of the global Gan--Gross--Prasad conjecture and its refinement Ichino--Ikeda conjecture for $\mathrm{U}(n)\times\mathrm{U}(n+1)$ in the stable case. 
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  • Hang Xue
  • Mathematics
    Journal für die reine und angewandte Mathematik (Crelles Journal)
  • 2017
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